1. Solve the following Quadratic Equations using completing the square method
a. 2++=0
b. 2−4+3=0
c. −22+12−17=0
d. 32+15=1
e. 92−12+3=0
2. Graph each of the following quadratic functions. Find the x- and y-intercepts of each graph, if any exist. If it is given in the general form, convert it into standard form. Find the domain and range of each function and list the intervals on which the function is increasing or decreasing. Identify the vertex and the axis of symmetry and determine whether the vertex yields a relative and absolute maximum or minimum.
a. 2+2=0 b. −(+2)2=0 c. −32+5+4
f. 22−4−1=0 e. −2(+1)2=0 f. −32+4+7=0
3. Solve each of the following equations by.
i. Factorization method
ii. Formula method
a. 2−=12 b. 2−40=−14 c. 2+12+36=0
d. 42−1=0 e. 102−19+6=0 f. 52=2
4. Solve each of the following equations.
a. 125+1=2−52−4
b. 6+9+47−1=−1
5. Using the discriminant determine which solution set we get for each of the following quadratic equations.
a. 132+1=5
b. b. 62+20=3
c. c. 492+126=−81
d. 52−2=−3
e. 82+19+2=0
f. 122−25=30
6. Graph the equations in question 5.
7. Write the following in standard form
2
a. 2+65−3
b. 6−1319+4
c. 7+52
d. 8+4
e. 12−313+4
8. Evaluate the following
a. 16−29−3+4−1+5
b. −68−12+3
c. 3−+4+4−62
d. 15+42=+5−1